Fritz John and Kuhn-Tucker type necessary optimality conditions for a Pareto optimal (efficient) solution of a multiobjective control problem are obtained by first reducing the multiobjective control problem to a system of single objective control problems, and then using already established optimality conditions. As an application of Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir ...

In this paper, Antczak’s -approximation approach is used to prove the equivalence between optima of multiobjective programming problems and the -saddle points of the associated -approximated vector optimisation problems. We introduce an -Lagrange function for a constructed -approximated vector optimisation problem and present some modified -saddle point results. Furthermore, we construct an -ap...

We present a platform for parallelized manipulations of individual polarizable micron-scale particles (i.e., microparticles) that combines negative dielectrophoretic forcing with the passive capture of hydrodynamic weir-based trapping. Our work enables manipulations using ejection- andor exclusion-based methods. In ejection operations, we unload targeted weirs by displacing microparticles from ...

The formation of the labyrinth layer is a critical step of placental development. The transcription factor glial cells missing 1 (Gcm1) plays a pivotal role in labyrinth development, but the sequence of events controlling its expression has not been identified yet. Our studies presented herein show that Gcm1 expression occurs in three distinct phases during placental development, each specific ...

PURPOSE This pilot study examines the effects of walking a labyrinth. METHOD A convenience sample of 25 community members participated in a four-group, repeated measures study to gather information about vital signs and affect before and after labyrinth walks. Because of the small sample size, results were inspected for effect size (ES) differences in pre-to postcomparisons. Mean postwalk sco...

In this paper, we consider the problem of navigating a robot with limited abilities concerning computing power, memory, and sensors through a labyrinth with one-way roads. Escaping from a labyrinth is a task which is widely explored. Many algorithms with different advantages and different areas of application are known. Usually, labyrinths are given as polygonal scenes or (directed) graphs. Whi...